# How much work would it take to horizontally accelerate an object with a mass of #8# #kg# to #4# #ms^-1# on a surface with a kinetic friction coefficient of #1 #?

##### 2 Answers

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With the condition that

#### Explanation:

Force

Assuming that the object is initially at rest on the horizontal and acceleration is constant. Using the kinematic equation

Also distance moved

Given is coefficient of kinetic friction

As normally coefficient of static friction is greater than the coefficient of kinetic friction, also that neither of the coefficients can be greater than

Let the normal reaction be

Force of friction which will oppose the motion

Inserting given values

Work done